Minimum-Variance Unbiased Estimator
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A Minimum-Variance Unbiased Estimator is an unbiased point estimator that ...
- AKA: MVUE, UMVUE.
- …
- Counter-Example(s):
- See: Variance, Point Estimator.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/minimum-variance_unbiased_estimator Retrieved:2015-6-15.
- In statistics a uniformly minimum-variance unbiased estimator or minimum-variance unbiased estimator (UMVUE or MVUE) is an unbiased estimator that has lower variance than any other unbiased estimator for all possible values of the parameter.
For practical statistics problems, it is important to determine the UMVUE if one exists, since less-than-optimal procedures would naturally be avoided, other things being equal. This has led to substantial development of statistical theory related to the problem of optimal estimation. While the particular specification of "optimal" here — requiring unbiasedness and measuring "goodness" using the variance — may not always be what is wanted for any given practical situation, it is one where useful and generally applicable results can be found.
- In statistics a uniformly minimum-variance unbiased estimator or minimum-variance unbiased estimator (UMVUE or MVUE) is an unbiased estimator that has lower variance than any other unbiased estimator for all possible values of the parameter.